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Finding the Fourth Proportional to 6,782.38, 10,173.74 and 2,165.38

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Solution

The fourth proportional to 6,782.38, 10,173.74 and 2,165.38 is: 3,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.38 : 10,173.74 = 2,165.38 : x
  2. Step 2: Convert to fraction form
    6,782.38/10,173.74 = 2,165.38/x
  3. Step 3: Cross multiply
    6,782.38x = 10,173.74 × 2,165.38
  4. Step 4: Simplify right side
    6,782.38x = 22,030,013.12
  5. Step 5: Solve for x
    x = 22,030,013.12/6,782.38
  6. Step 6: Final answer
    x = 3,248.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.